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Darina [25.2K]
3 years ago
14

Please who can help me?

Mathematics
1 answer:
Natasha2012 [34]3 years ago
4 0
Sorry, very late response since I had other matters to attend to.
Question 1:
A: Incorrect; if that was the case, on day 1, the price would be 150. Instead here, according to the graph, on day 1 the price is 30. 

B: Incorrect; the slope, or rate of change, is 30.
[Note: To calculate the slope, we can take two points (I've chosen points (1,30) [1] and (2,60) [2] for you) and use the formula \frac{y^2 - y^1}{x^2 - x^1}.  \frac{60 - 30}{2 - 1} ⇒ \frac{30}{1}. \frac{x}{1} = x, therefore \frac{30}{1} = 30.]

C; Correct; each day the price increases by (+) 30.

D: Incorrect; the line does not show a constant decrease, but instead a constant increase.

Question 2:
A: Most likely this answer choice. The equation seems to be in slope-intercept form on accounting that the equation has mx and b. M has the x directly after it while the b is a number that stands alone. [Note: Numbers that stand alone and without a variable are constants.] B stands for the y-intercept/initial value, or amount started with. 

In short:
Q1: C
Q2: A

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write an equation for the line that passes through the given point and has the given slope m (4,-5);m= -1/4
EastWind [94]

-------------------------------------------------------------------------------------------------------------

Answer:  \textsf{y = -1/4x - 4}

-------------------------------------------------------------------------------------------------------------

Given: \textsf{Slope = -1/4, Point through = (4, -5)}

Find:  \textsf{Equation for the line that passes through the given point}

Solution: In order to get the equation, we need to first use the point-slope form to help us sort out our information and then we solve for y.

<u>Plug in the values</u>

  • \textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}
  • \textsf{y - (-5) = -1/4(x - 4)}

<u>Simplify and solve for y</u>

  • \textsf{y + 5 = -1/4(x - 4)}
  • \textsf{y + 5 = -1/4x + 1}
  • \textsf{y + 5 - 5 = -1/4x + 1 - 5}
  • \textsf{y = -1/4x - 4}

Therefore, the final answer would be that the equation that has a slope of -1/4 and passes through (4, -5) is y = -1/4x - 4.

5 0
2 years ago
Write the equation of the circle with center (2, -3) and a radius of 4.
harkovskaia [24]
C(h,k) radius(r)
C(2,-3) r=4

(x-h)^2 + (y-k)^2 = r^2
(x-2)^2 + (y--3)^2 = 4^2
(x-2)^2 + (y+3)^2 = 16

therefore, the answer is D
8 0
3 years ago
Read 2 more answers
A triangle has sides with lengths of 8 millimeters, 15 millimeters, and 17 millimeters. Is it a right triangle?
olga nikolaevna [1]

Answer:

yes.

Step-by-step explanation:

to find this answer, use the pythagoras theorem. the pythagoras theorem states that a² + b² = c².

to see if this is a right angled triangle, we will use this formula, as the pythagoras theorem only works for right angled triangles.

we are going to work out c, which is always the hypotenuse. the hypotenuse is the longest side of a triangle, that is larger than the other values. we know that the hypotenuse of this triangle is 17, so let’s see if that’s the answer we get.

calculation:

a² + b² = c²

a = 8 millimetres

b = 15 millilitres

c = ?

8² + 15² = c²

64 + 225 = c²

64 + 225 = 289.

289 = c²

√289 = c

√289 = 17.

the pythagoras theorem correctly identified the length of the hypothenuse. as i said earlier, this theorem only works on right angled triangles, therefore, this triangle is right angled.

6 0
3 years ago
Can someone help me with this
horsena [70]
Number 5 would be D i think

7 0
3 years ago
special deck of cards has 20 cards. Nine are green, seven are blue, and four are red. When a card is picked, the color of it is
Sever21 [200]

Answer:

Step-by-step explanation:

Given that special deck of cards has 20 cards. Nine are green, seven are blue, and four are red. When a card is picked, the color of it is recorded. An experiment consists of first picking a card and then tossing a coin

A) Sample space will have Green, Head,  or Green, Tail .... Red, head, red, tail

No of elements in sample space = no of colours x no of outcomes in coin toss

= 4x2 = 8

B) A= getting (RT)

P(A) = Prob of getting red card and tail on coin

= P (R) *P(T)

=\frac{4}{20} *\frac{1}{2} \\=\frac{1}{10}

C) B be the event that a green or blue is picked, followed by landing a tail on the coin toss

B = getting green card and tail

Getting green card tail is mutally exclusive with red card and tail as there is no common element between green and blue.

D) C= red or green card is picked followed by tail.

Here A and C have a common element as getting red and tail.  So not mutually exclusive

7 0
3 years ago
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